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Simplifying 35(x + -7) = x + 97 Reorder the terms: 35(-7 + x) = x + 97 (-7 * 35 + x * 35) = x + 97 (-245 + 35x) = x + 97 Reorder the terms: -245 + 35x = 97 + x Solving -245 + 35x = 97 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -245 + 35x + -1x = 97 + x + -1x Combine like terms: 35x + -1x = 34x -245 + 34x = 97 + x + -1x Combine like terms: x + -1x = 0 -245 + 34x = 97 + 0 -245 + 34x = 97 Add '245' to each side of the equation. -245 + 245 + 34x = 97 + 245 Combine like terms: -245 + 245 = 0 0 + 34x = 97 + 245 34x = 97 + 245 Combine like terms: 97 + 245 = 342 34x = 342 Divide each side by '34'. x = 10.05882353 Simplifying x = 10.05882353
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